404242122242213 has 8 divisors (see below), whose sum is σ = 429371294812632. Its totient is φ = 379262974583296.

The previous prime is 404242122242209. The next prime is 404242122242279. The reversal of 404242122242213 is 312242221242404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37538082609889 + 366704039632324 = 6126833^2 + 19149518^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404242122242213 - 2² = 404242122242209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404242122242813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37506222320 + ... + 37506233097.

It is an arithmetic number, because the mean of its divisors is an integer number (53671411851579).

Almost surely, 2^{404242122242213} is an apocalyptic number.

It is an amenable number.

404242122242213 is a deficient number, since it is larger than the sum of its proper divisors (25129172570419).

404242122242213 is a wasteful number, since it uses less digits than its factorization.

404242122242213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75012455751.

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 404242122242213 its reverse (312242221242404), we get a palindrome (716484343484617).

The spelling of 404242122242213 in words is "four hundred four trillion, two hundred forty-two billion, one hundred twenty-two million, two hundred forty-two thousand, two hundred thirteen".